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scoundrel [369]
3 years ago
10

1. 3x + y = 11 5x - y = 21

Mathematics
1 answer:
sergeinik [125]3 years ago
4 0

Answer:

[4, -1]

Step-by-step explanation:

Using the Elimination Method:

3x + y = 11

5x - y = 21

__________

8x = 32

__ ___

8 8

x = 4 [Plug this back into both equations to get the y-coordinate of -1]; -1 = y

The <em>y</em>'s are already <em>additive</em><em> </em><em>inverses</em><em> </em>[result in 0], canceling each other out.

I am joyous to assist you anytime.

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In circle O, BC = 17 and DC = 30. The diagram is not drawn to scale.
Aliun [14]

Applying the secant-tangent theorem, the length of diameter, BA is: A. 52.9.

<h3>What is the Secant-Tangent Theorem?</h3>

Considering the image given, the secant-tangent theorem states that:

DC² = (BC)(BA)

Given the following:

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  • DC = 30

Substitute the values into the equation

30² = (17)(BA)

900/17 = BA

BA ≈ 52.9

Length of the diameter, BA is: A. 52.9

Learn more about the secant-tangent theorem on:

brainly.com/question/10732273

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8 0
2 years ago
If p 0 and p+q=r which statement is true
zhuklara [117]

Answer:p=qbecause they are the same

Step-by-step explanation:

3 0
3 years ago
An important assumption underlying inferences from a linear regression is that variance in the response variable is reasonably c
rewona [7]

Answer:

A. True

Step-by-step explanation:

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3) No or little multicollinearity : "Multicollinearity occurs when the independent variables are too highly correlated with each other". And we can check this with a correlation matrix, variance inflation factor (VIF's), correlation index and other statistics.

4) No auto-correlation : The "Autocorrelation happens when the residuals are not independent from each other in the data". And usually we can test this with the Durbin-Watson test.

5) Homoscedasticity: MEans that we need constant variance for the linear model. The scatter plot is good way to check whether the data are homoscedastic. And we can interpret this condition as "that variance in the response variable is reasonably consistent across the range of an explanatory factor (otherwise known as homoscedasticity)"

So then the statement is TRUE.

5 0
3 years ago
38. For a field trip 11 students rode in cars and the rest rode in 8 busses with the same number of students on each. How many s
Natalija [7]
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4 0
2 years ago
Help me with this please !!
avanturin [10]

Answer:

see explanation

Step-by-step explanation:

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T(- 1, 3 ) → T'(- 3, 1 )

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